Reconstructing flexural stiffness of symmetric simply supported beams using the high-order mode

Authors

• Min He, Anqing Normal University
• Lihua Zhang, Anqing Normal University
• Qi shen Wang, Anqing Normal University
• Isaac Elishakoff, Florida Atlantic University

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Faculty

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Inverse Problems in Science and Engineering

Publication Status

Version of Record

Abstract

The simply supported beam is a commonly used structure in engineering practice, and often has geometric and physical parameters that are symmetric with respect to the middle cross-section. In this paper, we discuss a simple semi-inverse problem of the single mode for symmetric simply supported beams. The calculation scheme is given with high-order mode and a polynomial density function to construct the beam’s flexural stiffness. Two examples are elaborated in detail. The issue of ensuring the positive value property of the stiffness function for a symmetric simply supported beam is treated in detail. Additionally, it is demonstrated that the proposed solution is well-posed.

First Page

238

Last Page

255

DOI

10.1080/17415977.2019.1603221

Publication Date

2-1-2020

Recommended Citation

He, Min; Zhang, Lihua; Wang, Qi shen; and Elishakoff, Isaac, "Reconstructing flexural stiffness of symmetric simply supported beams using the high-order mode" (2020). Faculty Scholarship. 239.
https://digitalcommons.fau.edu/faculty_papers/239